OpenID is an open, decentralized, free framework for user-centric digital identity. OpenID takes advantage of already existing internet technology (URI, HTTP, SSL, Diffie-Hellman) and realizes that people are already creating identities for themselves whether it be at their blog, photostream, profile page, etc. With OpenID you can easily transform one of these existing URIs into an account which can be used at sites which support OpenID logins.
Difference between OpenID and conventional authentification form?
The difference is that the identification will be decentralized to an external site (for example Wordpress, Yahoo, ...). The website will know whether or not the identification is OK and let you login. Conventional website authentication performs a comparison with data held in a private database, so your username and password can be used to login to this website only. With OpenID you can use the same credentials on multiple websites.